Directional decomposition of the acoustic wave equation for fluids and metafluids in spherical geometries, with application to transformational acoustics
Journal article, 2016

A new directional decomposition of the acoustic 3D wave equation is derived for spherically symmetric geometries, where the wave fields do not need to possess such a symmetry. This provides an alternative basis for various applications of techniques like invariant embedding and time domain Green functions in spherically symmetric geometries. Contrary to previous results on spherical wave splittings, the new decomposition is given in a very explicit form. The wave equation considered incorporates effects from radially varying compressibility and density, but also from anisotropic density, a property of certain so called metafluids. By applying the new spherical wave splitting, we show that all spherically symmetric acoustic metafluid cloaks are diffeomorphic images of a homogeneous and isotropic spherical ball of perfect fluid.

wave splitting




inverse scattering

cloaking theory

telegraph equation

3 dimensions

time domain

transformational acoustics

viscoelastic media



Peter Olsson


Inverse Problems

0266-5611 (ISSN) 13616420 (eISSN)

Vol. 32 3 035005

Subject Categories

Fluid Mechanics and Acoustics



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